Area and Perimeter Worksheet
The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.
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- 1.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
- 2.A rectangular field is 10 m long and 8 m wide. What is its area (in sq m)?
- 3.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
- 4.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its perimeter (in cm)?
- 5.A rectangular field is 16 m long and 9 m wide. What is its area (in sq m)?
- 6.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
- 7.The perimeter of a square is 108 cm. What is its area (in sq cm)?
- 8.A park is 59 m long and 12 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
- 9.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
- 10.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
- 11.A garden is 29 m long and 28 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 12.A garden is 16 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 13.The perimeter of a square is 100 cm. What is its area (in sq cm)?
- 14.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
- 15.A rectangular field is 38 m long and 23 m wide. What is its area (in sq m)?
- 16.The perimeter of a square is 104 cm. What is its area (in sq cm)?
- 17.A rectangular field is 35 m long and 26 m wide. What is its area (in sq m)?
- 18.A rectangular field is 12 m long and 8 m wide. What is its area (in sq m)?
- 19.A rectangular field is 15 m long and 13 m wide. What is its area (in sq m)?
- 20.A park is 19 m long and 9 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
- 21.A garden is 15 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 22.A park is 21 m long and 5 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
- 23.A park is 12 m long and 6 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 24.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
- 25.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
- 26.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
- 27.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
- 28.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its perimeter (in cm)?
- 29.The perimeter of a square is 96 cm. What is its area (in sq cm)?
- 30.A garden is 37 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 31.A triangle has a base of 30 cm and a height of 17 cm. What is its area (in sq cm)?
- 32.A garden is 14 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
- 33.A rectangular field is 37 m long and 25 m wide. What is its area (in sq m)?
- 34.A park is 10 m long and 6 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
- 35.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
- 36.A park is 47 m long and 39 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
- 37.A park is 18 m long and 13 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
- 38.A park is 57 m long and 12 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
- 39.The perimeter of a square is 72 cm. What is its area (in sq cm)?
- 40.A triangle has a base of 23 cm and a height of 24 cm. What is its area (in sq cm)?
Answer key
- 1386
- 80
- 616
- 34
- 144
- 30
- 729
- 852
- 264
- 88
- 118
- 222
- 625
- 2464
- 874
- 676
- 910
- 96
- 195
- 504
- 56
- 624
- 1188
- 154
- 220
- 20
- 88
- 40
- 576
- 98
- 255
- 156
- 925
- 608
- 220
- 3096
- 2046
- 2346
- 324
- 276
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